Exercícios Avaliativo 2 2017

Prévia do material em texto

Encontre a equação da reta tangente nos respectivos pontos e o ponto onde a reta é horizontal:
a) f(x) = -5x
+ 8x + 2 ; abscissa -1 b) f(x) = 3x
- 2x – 4 ; abscissa 2 c) f(x) = x
- 4x ; abscissa 2
d) f(x) = 
; abscissa 1 
Calcule a derivada e simplifique:
a) h(z) = 8z
 b) g(x) = x
- 
 c) k(x) = (2x
- 4x + 1)(6x – 5) d) h(x) = x
(3x
- 2x + 5) e) h(z) = (z
- 2z
)(7z
+ z – 8) f) f(w) = 
 g) f(t) = 
 h) f(x) = 
i) p(x) = 1 + 
+ 
+ 
 j) s(w) = (2w + 1)
 k) s(x) = (3x + 1) 
 l) N(z) = 
 m) H(z) = 7 tg z n) f(x) = 3x sen x o) p(w) = w
+ w sen w p) g(x) = 
 q) r(w) = 
 r) h(x) = 
 
s) g(x) = 
 t) g(t) = 
 u) g(x) = 
 
Resolva a equação f’(x) = 0.
 a) y = 4x
+ 21x
- 24 x + 11 	 b) y = 
Resolva a equação f’’(x) = 0.
a) y = 6x
- 5x
- 30x
+ 11x
Usando o teste da derivada primeiro faça o que se pede:
Encontre f’(x)
Ache os números críticos 
Determine o intervalo onde a função é crescente e onde ela é decrescente
Esboce o gráfico
	6.1) f(x) = x
- 4x – 1 			6.3) f(x) =
 
	6.2) f(x) = x
- x
- x			6.4) f(x) = 3x
- 3x + 2 
Calcule: 
				
		
		
				
		
		i) 
		
j) 
				
DISCIPLINA: CÁLCULO DIFERENCIAL E INTEGRAL I
EXERCÍCIO AVALIATIVO
CURSO: ENGENHARIA
TURMA: 			
DATA: 
CÓD. DISCIPLINA: 
PROFESSOR: MATEUS BRANDAO					
ALUNO (A):
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